EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH IMPULSIVE EFFECTS VIA VARIATIONAL APPROACH

被引：5
|
作者：
Min, Dandan [1 ]
Chen, Fangqi [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional advection-dispersion equation; variational approach; impulsive; iterative technique; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATION; POSITIVE SOLUTIONS; P-LAPLACIAN;
D O I：
10.11948/20190181
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on the variational approach and iterative technique, the existence of nontrivial weak solutions is derived for a fractional advection-dispersion equation with impulsive effects, and the nonlinear term of fractional advection-dispersion equation contain the fractional order derivative. In addition, an example is presented as an application of the main result.
引用
收藏
页码：1005 / 1023
页数：19
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